We examine the effect of finite size of population on the distribution of
family names. As the result we observe that the power-law behavior of
size-frequency distribution in
Reed--Hughes ([15]) model collapses to show the convex shape on the
logarithmic
graph. We can approximately calculate the average distribution of
size-frequency
distribution of family names obtained by the similar method for Ewens
sampling formula.
Publié le : 2007-02-14
Classification:
family names,
distribution on logarithmic graph,
finite size of population,
random partitions
@article{1197390057,
author = {Sato, Kazunori and Oguri, Atsushi},
title = {Effect of the Finite Size of Population on the Distribution
of Family Names},
journal = {Japan J. Indust. Appl. Math.},
volume = {24},
number = {1},
year = {2007},
pages = { 119-130},
language = {en},
url = {http://dml.mathdoc.fr/item/1197390057}
}
Sato, Kazunori; Oguri, Atsushi. Effect of the Finite Size of Population on the Distribution
of Family Names. Japan J. Indust. Appl. Math., Tome 24 (2007) no. 1, pp. 119-130. http://gdmltest.u-ga.fr/item/1197390057/